There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.

Apply properties of operations to work with mixed numbers. The first of two lesson plans that focus on properties of operations works with mixed numbers and converting opposites of sums. Pupils work with properties of operations to break...

Guide young mathematicians through the crazy world of negative numbers with a handy reference document. Offering clear instructions for adding and subtracting positive and negative integers, this resource is a great way to...

Add another strategy to the toolboxes of young mathematicians with this elementary math lesson on using number lines to add and subtract fractions.

Apply addition and subtraction of integers to solve problems with rational numbers. Pupils apply the rules for adding and subtracting integers to add and subtract rational numbers. Class members represent the problem with equations and...

For this rational number worksheet, students add and subtract fractions containing variables. They find common denominators and solve for the unknown. This four-page worksheet contains eighteen problems. Answers are listed on the last...

In this algebra activity, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.

I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of...

Middle schoolers add and subtract integers. In this algebra lesson, students discuss number sense as they sort numbers in the correct order. They analyze and label numbers differentiating between rational and irrational numbers.

In this rational expression instructional activity, students add or subtract rational expressions by finding common denominators. There are 11 multiple choice questions.

Subtraction is all about opposites, and the fifth activity in a series of 25 introduces the concept of subtracting integers. Pupils connect subtracting with discarding a card in the integer game. They develop the rule for subtracting...

In this rational number worksheet, students add and subtract quantities containing radical expressions.  They identify equivalent expressions.  This three-page worksheet contains 15 multiple-choice problems.  Answers are...

Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...

In this addition and subtraction worksheet, students find the sums and differences of positive and negative numbers. Students solve thirteen problems.

For this integers worksheet, students use the integer number line to solve the problems as they add and subtract positive and negative numbers. They find the answers to 10 questions.

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...

Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...

In this rational expression worksheet, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...

In this rational expressions worksheet, 9th graders solve and complete 15 different problems that include adding and subtracting rational expressions. First, they define Least Common Multiple to get a common denominator in an equation....

Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...

Learn ways to simplify algebraic fractions with a video that reviews how to simplify rational expressions by canceling common factors and how to add and subtract simple rational expressions. A worksheet tests pupils' understanding...

So many rules and so little time. Make it easy and provide all the exponent and radical rules in one place as an easy reference guide. All of the properties come with several examples to show how the rules apply to different problems. 

This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.